Atkin-Lehner |
2- 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128340f |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.3033240519445E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1842753063,25006856357662] |
[a1,a2,a3,a4,a6] |
j |
3708152989149222347473316176/698368940728160179634775 |
j-invariant |
L |
0.75045234138764 |
L(r)(E,1)/r! |
Ω |
0.031268851563606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42780h2 |
Quadratic twists by: -3 |